Q10 / 105 · NTA Abhyas (JEE Main) 2020 · Physics · Center of Mass Momentum and Collision

Three point masses 1.0 kg, 1.5 kg and 2.5 kg are placed at the vertices of a right-angle triangle of sides  4.0 cm, 3.0 cm and 5.0 cm, as shown in the figure. The centre of mass of the system is


Figure

  • A
    0.6 cm right and 2.0 cm above 1 kg mass
  • B
    2.0 cm right and 0.9 cm above 1 kg mass
  • Correct answer
    C
    0.9 cm right and 2.0 cm above 1 kg mass
  • D
    1.5 cm right and 1.2 cm above1 kg mass

Solution

Let us assume that the origin of the coordinate system is at the location of 1kg mass, then

Figure

xcm=1×0+1.5×3+2.5×05=0.9 cm
ycm=1×0+1.5×0+2.5×45=2 cm

Hence, the correct answer is option: 'C'.

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